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Jacobsthal Sums by Bogdan Nica (Indiana University Indianapolis, Usa) at Abbey's Bookshop,
Jacobsthal Sums
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Bogdan Nica (Indiana University Indianapolis, Usa)

Jacobsthal Sums

Bogdan Nica (Indiana University Indianapolis, Usa)

$232.95   $186.18

Hardback

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English
World Scientific Publishing Co Pte Ltd
27 June 2025
Number systems; Number theory
Series: Monographs In Number Theory
The focus of this monograph is on the Jacobsthal sums of the title. These are quadratic character sums with polynomial arguments of a certain simple form. In addition to studying Jacobsthal sums on their own, the monograph explores their role in several topics of number-theoretical interest. A prominent theme is their use in counting solutions to equations over prime fields. Another aim is to construct representations of primes as sums of squares using Jacobsthal sums. Finally, Jacobsthal sums are applied to evaluate other quadratic character sums with polynomial arguments.

This text is self-contained, with minimal technical prerequisites. We have strived for an engaging exposition, incorporating numerous examples and applications, carefully selected exercises, and historical notes and perspectives. Complete solutions to all exercises are provided.

This monograph should be of interest to researchers studying character sums or counting solutions to equations over finite fields, as well as to graduate students and advanced undergraduates interested in these topics.
By:  
Imprint:   World Scientific Publishing Co Pte Ltd
Country of Publication:   Singapore
Volume:   14
ISBN:   9789819813162
ISBN 10:   9819813166
Series:   Monographs In Number Theory
Pages:   184
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Primary ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

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